Answer:
(2.25,-0.5)
Step-by-step explanation:
If you were to graph the equations, they intersect at the points 2.25, and -0.5.
The simplification form of the provided expression is 2x²y⁴ option first is correct.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
![= \rm \sqrt[3]{8x^6y^{12}}](https://tex.z-dn.net/?f=%3D%20%5Crm%20%5Csqrt%5B3%5D%7B8x%5E6y%5E%7B12%7D%7D)
![\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%3D%5Csqrt%5B3%5D%7B8%7D%5Csqrt%5B3%5D%7Bx%5E6%7D%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
![\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%5Crm%20%3D%20%5Crm%202%5Csqrt%5B3%5D%7Bx%5E6%7D%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
![\rm =2x^2\sqrt[3]{y^{12}}](https://tex.z-dn.net/?f=%5Crm%20%3D2x%5E2%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D)
Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.
Learn more about the expression here:
brainly.com/question/14083225
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Answer:
<u>4y = x + 13</u>
Step-by-step explanation:
The general equation of the line y = mx + c
where m is the slope and c is constant represent y-intercept
The line shown in the graph pass through the points (3,4) , (-1,3)
The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4
∴ y = (1/4) x + c
Substitute with the point (3,4) to find c
∴ 4 = (1/4) 3 + c
∴ c = 4 - 3/4 = 13/4
∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4
∴ 4y = x + 13
So, The equation of the line in the graph: 4y = x + 13
The equation can be written as <u>y = (1/4) x + 13/4 OR 4y - x = 13</u>
<span>2(3 - x) = -16
3 - x = -16/2
3 - x = -8
-x = -8 - 3
-x = - 11
x = 11</span>
